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Simplifying 8 + -4(2m + -7) = 8(m + -3) Reorder the terms: 8 + -4(-7 + 2m) = 8(m + -3) 8 + (-7 * -4 + 2m * -4) = 8(m + -3) 8 + (28 + -8m) = 8(m + -3) Combine like terms: 8 + 28 = 36 36 + -8m = 8(m + -3) Reorder the terms: 36 + -8m = 8(-3 + m) 36 + -8m = (-3 * 8 + m * 8) 36 + -8m = (-24 + 8m) Solving 36 + -8m = -24 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 36 + -8m + -8m = -24 + 8m + -8m Combine like terms: -8m + -8m = -16m 36 + -16m = -24 + 8m + -8m Combine like terms: 8m + -8m = 0 36 + -16m = -24 + 0 36 + -16m = -24 Add '-36' to each side of the equation. 36 + -36 + -16m = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -16m = -24 + -36 -16m = -24 + -36 Combine like terms: -24 + -36 = -60 -16m = -60 Divide each side by '-16'. m = 3.75 Simplifying m = 3.75
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